Factors of 6825
The factors of 6825 are 1, 3, 5, 7, 13, 15, 21, 25, 35, 39, 65, 75, 91, 105, 175, 195, 273, 325, 455, 525, 975, 1365, 2275, 6825. It has 24 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 6825 is a whole number that divides it with nothing left over. You only need to test the numbers up to √6825 ≈ 82.61; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 24 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 13888. Without 6825 itself that is 7063, so 6825 is an abundant number.
LaTeX source of the formulas on this page
\[ 6825 = 3 \times 5^{2} \times 7 \times 13 \]Factor pairs of 6825
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 6825 | 1 × 6825 = 6825 |
| 3 | 2275 | 3 × 2275 = 6825 |
| 5 | 1365 | 5 × 1365 = 6825 |
| 7 | 975 | 7 × 975 = 6825 |
| 13 | 525 | 13 × 525 = 6825 |
| 15 | 455 | 15 × 455 = 6825 |
| 21 | 325 | 21 × 325 = 6825 |
| 25 | 273 | 25 × 273 = 6825 |
| 35 | 195 | 35 × 195 = 6825 |
| 39 | 175 | 39 × 175 = 6825 |
| 65 | 105 | 65 × 105 = 6825 |
| 75 | 91 | 75 × 91 = 6825 |
Questions
What are the factors of 6825?
The factors of 6825 are 1, 3, 5, 7, 13, 15, 21, 25, 35, 39, 65, 75, 91, 105, 175, 195, 273, 325, 455, 525, 975, 1365, 2275, 6825. It has 24 factors.
What are the prime factors of 6825?
3, 5, 7, 13. As a product: 3 × × 7 × 13.
How many factors does 6825 have?
6825 has 24 factors (12 factor pairs).
What is the sum of the factors of 6825?
13888.
Is 6825 a prime number?
No. It is divisible by 3, so 6825 = 3 × 2275.